Orbital Mechanics

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Apogee AltitudeFind the apogee altitude given the perigee altitude and the period of a revolution
Velocity ImpulseUse this Orbital Mechanics tool to calculate the velocity impulses given the initial mass, final mass, and specific impulse.
Mass of PropellantUse this Orbital Mechanics tool to estimate the mass of propellant given the payload mass, burnout mass, velocity impulse, and specific impulse
Period of RevolutionFind the period of revolution of a satellite given the perigee and apoge altitudes
Velocity at PerigeeFind the apogee altitude given the perigee altitude and the period of a revolution
Velocity at ApogeeFind the velocity at apogee
Period of an Elliptic OrbitUse this Orbital Mechanics tool to calculate the period of an elliptic orbit given its semi-major axis
Semi-major AxisFind the semi-major axis of an elliptic orbit given the number of revolutions per day and the period of revolution
Apsidal Rotation RateUse this Orbital Mechanics tool to calculate the apsidal regression rate
Circular Orbit VelocityCalculate the circular orbit velocity from the radius of the orbit
Escape VelocityCalculate the escape velocity given the radius of the elliptic orbit.
Gravitational Force Between Two ParticlesFind the attraction force of two particles separated by a distance
Periapsis RadiusFind the periapsis radius given the apoapsis radius, apoapsis velocity, and mass of the central object
Periapsis VelocityFind the periapsis velocity given the apoapsis radius, apoapsis velocity, and mass of the central object
Right Ascension From Position VectorCalculate the right ascension given the position vector
Declination From Position VectorCalculate the declination given the position vector
Angular MomentumFind the angular momentum of a satellite given its vector position and vector velocity
Inclination from Position and Velocity VectorsFind the inclination of an orbit given the satellite
Secular Nodal Regression RateFind the apogee altitude given the perigee altitude and the period of a revolution
Secular Nodal Regression Rate From Perigee and Apogee RadiiFind the apogee altitude given the perigee altitude and the period of a revolution
Eccentric AnomalyCalculate the eccentric anomaly given the eccentricity and true anomaly.
Calculate the mean anomaly.Mean Anomaly
Mean Anomaly at Time Since PeriapsisCalculate the mean anomaly at a given time since the periapsis knowing the period.
Time Since PeriapsisFind the apogee altitude given the perigee altitude and the period of a revolution
True AnomalyCalculate the true anomaly given the eccentricity and the eccentric anomaly.
Universal Anomaly of an Elliptical OrbitCalculate the universal anomaly of an elliptical orbit given its eccentric anomaly and the semi-major axis
Circular Orbit Plane Change VelocityCalculate the velocity required to change the plane of a circular orbit given the radius, the inclination of the initial orbit, and the inclination of the final orbit.
Circular Orbit Hohmann Transfer VelocitiesFind the apogee altitude given the perigee altitude and the period of a revolutionCalculate the velocities to tranfer from a circular orbit to another circular orbit using a Hohmann transfer.
Bi-elliptic Transfer VelocitiesCalculate the velocities to tranfer from a circular orbit to another circular orbit using a bi-elliptic transfer.
Circular Orbit PeriodCalculate the period of a circular orbit given the radius
Radius of Circular Orbit from VelocityCalculate the radius of a circular orbit
Circular Orbit Radius From PeriodCalculate the radius of a circular orbit from its period
Circular Mars Orbit Radius From PeriodCalculate the radius of a circular orbit relative to Mars from its period
Circular Mars Orbit PeriodCalculate the period of a circular orbit given the radius relative to Mars
Radius of Circular Mars Orbit from VelocityCalculate the radius of a circular orbit relative to Mars
Radius of Circular Venus Orbit from VelocityCalculate the radius of a circular orbit relative to Venus
Circular Venus Orbit PeriodCalculate the period of a circular orbit given the radius relative to Venus
Circular Venus Orbit Radius From PeriodCalculate the radius of a circular orbit relative to Venus from its period
Circular Sun Orbit Radius From PeriodCalculate the radius of a circular orbit relative to Venus from its period
Circular Sun Orbit PeriodCalculate the period of a circular orbit given the radius relative to the Sun
Radius of Circular Orbit around the Sun from VelocityCalculate the radius of a circular orbit relative to the Sun
Radius of Circular Orbit from Velocity Relative to MercuryCalculate the radius of a circular orbit relative to Mercury
Circular Mercury Orbit PeriodCalculate the period of a circular orbit given the radius relative to Mercury
Radius of Circular Orbit from Velocity Relative to JupiterCalculate the radius of a circular orbit relative to Jupiter
Circular Jupiter Orbit PeriodCalculate the period of a circular orbit given the radius relative to Jupiter
Radius of Circular Orbit from Velocity Relative to SaturnCalculate the radius of a circular orbit relative to Saturn
Circular Saturn Orbit PeriodCalculate the period of a circular orbit given the radius relative to Saturn
Radius of Circular Orbit from Velocity Relative to UranusCalculate the radius of a circular orbit relative to Uranus
Circular Uranus Orbit PeriodCalculate the period of a circular orbit given the radius relative to Uranus
Perigee Radius from Perigee AltitudeFind the apogee altitude given the perigee altitude and the period of a revolution
Angular Momentum from Perigee Radius and EccentricityUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity
Angular Momentum from Perigee Radius and Eccentricity in Mars OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Mars
Angular Momentum from Perigee Radius and Eccentricity in Venus OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Venus
Angular Momentum from Perigee Radius and Eccentricity in Mercury OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Mercury
Angular Momentum from Perigee Radius and Eccentricity in Saturn OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Saturn
Angular Momentum from Perigee Radius and Eccentricity in Sun OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Sun
Angular Momentum from Perigee Radius and Eccentricity in Jupiter OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Jupiter
Angular Momentum from Perigee Radius and Eccentricity in Uranus OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Uranus
Angular Momentum from Perigee Radius and Eccentricity in Neptune OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Neptune
Angular Momentum from Perigee Radius and Eccentricity in Pluto OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Pluto
Angular Momentum from Perigee Radius and Eccentricity in Earth Moon OrbitUse this tool to calculate the angular momentum given the perigee altitude and the eccentricity of an orbit around Earth Moon
Circular Orbit Velocity From AltitudeCalculate the circular orbit velocity from the altitude of the orbit
Circular Orbit Velocity From Altitude Relative to MarsCalculate the circular orbit velocity from the altitude of the orbit relative to Mars
Circular Orbit Velocity From Altitude Relative to VenusCalculate the circular orbit velocity from the altitude of the orbit relative to Venus
Circular Orbit Velocity From Altitude Relative to MercuryCalculate the circular orbit velocity from the altitude of the orbit relative to Mercury
Circular Orbit Velocity From Altitude Relative to SaturnCalculate the circular orbit velocity from the altitude of the orbit relative to Saturn
Circular Orbit Velocity From Altitude Relative to JupiterCalculate the circular orbit velocity from the altitude of the orbit relative to Jupiter
Circular Orbit Velocity From Altitude Relative to UranusCalculate the circular orbit velocity from the altitude of the orbit relative to Uranus
Circular Orbit Velocity From Altitude Relative to NeptuneCalculate the circular orbit velocity from the altitude of the orbit relative to Neptune
Circular Orbit Velocity From Altitude Relative to PlutoCalculate the circular orbit velocity from the altitude of the orbit relative to Pluto
Circular Orbit Period from AltitudeCalculate the period of a circular orbit given the altitude
Circular Orbit Period from Altitude Relative to MercuryCalculate the period of a circular orbit given the altitude relative to Mercury
Circular Orbit Period from Altitude Relative to VenusCalculate the period of a circular orbit given the altitude relative to Venus
Circular Orbit Period from Altitude Relative to MarsCalculate the period of a circular orbit given the altitude relative to Mars
Circular Orbit Period from Altitude Relative to JupiterCalculate the period of a circular orbit given the altitude relative to Jupiter
Circular Orbit Period from Altitude Relative to SaturnCalculate the period of a circular orbit given the altitude relative to Saturn
Circular Orbit Period from Altitude Relative to UranusCalculate the period of a circular orbit given the altitude relative to Uranus
Circular Orbit Period from Altitude Relative to NeptuneCalculate the period of a circular orbit given the altitude relative to Neptune
Circular Orbit Period from Altitude Relative to PlutoCalculate the period of a circular orbit given the altitude relative to Pluto
Semi-major Axis From Apogee and Perigee RadiiCalculate the semi-major axis from perigee and apogee radii
Azimuth Averaged RadiusCalculate the Azimuth-Averaged Radius
Apogee Velocity from Angular Momentum and Apogee RadiusCalculate the Apogee Velocity
Elliptical Orbit Period From Angular Momentum and EccentricityCalculate the orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Mars Orbit Period From Angular Momentum and EccentricityCalculate the Mars orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Mercury Orbit Period From Angular Momentum and EccentricityCalculate the Mercury orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Venus Orbit Period From Angular Momentum and EccentricityCalculate the Venus orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Saturn Orbit Period From Angular Momentum and EccentricityCalculate the Saturn orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Neptune Orbit Period From Angular Momentum and EccentricityCalculate the Neptune orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Jupiter Orbit Period From Angular Momentum and EccentricityCalculate the Jupiter orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Uranus Orbit Period From Angular Momentum and EccentricityCalculate the Uranus orbit period of an elliptical orbit given the angular momentum and eccentricity.
Elliptical Pluto Orbit Period From Angular Momentum and EccentricityCalculate the Pluto orbit period of an elliptical orbit given the angular momentum and eccentricity.
True Anomaly From Azimuth Averaged Radius Angular Momentum And EccentricityCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to MercuryCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to VenusCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to MarsCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to JupiterCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to SaturnCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to UranusCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to NeptuneCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
True Anomaly From Azimuth Averaged Radius Angular Momentum And Eccentricity Relative to PlutoCalculate the true anomaly of an orbit given the azimuth averaged radius, angular momentum, and eccentricity
Acceleration Of Gravity From Altitude Calculate the acceleration of gravity given the altitude
Potential Energy Per Unit MassCalculate the potential energy per unit mass
Potential Energy Per Unit Mass Relative To VenusCalculate the potential energy per unit mass relative to Venus
Potential Energy Per Unit Mass Relative To MercuryCalculate the potential energy per unit mass relative to Mercury
Potential Energy Per Unit Mass Relative To MarsCalculate the potential energy per unit mass relative to Mars
Potential Energy Per Unit Mass Relative To JupiterCalculate the potential energy per unit mass relative to Jupiter
Potential Energy Per Unit Mass Relative To SaturnCalculate the potential energy per unit mass relative to Saturn
Potential Energy Per Unit Mass Relative To UranusCalculate the potential energy per unit mass relative to Uranus
Potential Energy Per Unit Mass Relative To NeptuneCalculate the potential energy per unit mass relative to Neptune
Potential Energy Per Unit Mass Relative To PlutoCalculate the potential energy per unit mass relative to Pluto
Semi Latus Rectum From Angular MomentumCalculate the semi-latus-rectum given the angular momentum
Semi Latus Rectum From Angular Momentum Relative To MarsCalculate the semi-latus-rectum given the angular momentum relative to Mars
Semi Latus Rectum From Angular Momentum Relative To MercuryCalculate the semi-latus-rectum given the angular momentum relative to Mercury
Semi Latus Rectum From Angular Momentum Relative To VenusCalculate the semi-latus-rectum given the angular momentum relative to Venus
Semi Latus Rectum From Angular Momentum Relative To JupiterCalculate the semi-latus-rectum given the angular momentum relative to Jupiter
Semi Latus Rectum From Angular Momentum Relative To SaturnCalculate the semi-latus-rectum given the angular momentum relative to Saturn
Semi Latus Rectum From Angular Momentum Relative To UranusCalculate the semi-latus-rectum given the angular momentum relative to Uranus
Semi Latus Rectum From Angular Momentum Relative To NeptuneCalculate the semi-latus-rectum given the angular momentum relative to Neptune
Semi Latus Rectum From Angular Momentum Relative To PlutoCalculate the semi-latus-rectum given the angular momentum relative to Pluto
Radial Velocity of Elliptical Earth OrbitCalculate the radial velocity in an elliptical earth orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Mercury OrbitCalculate the radial velocity in an elliptical Mercury orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Venus OrbitCalculate the radial velocity in an elliptical Venus orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Mars OrbitCalculate the radial velocity in an elliptical Mars orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Jupiter OrbitCalculate the radial velocity in an elliptical Jupiter orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Saturn OrbitCalculate the radial velocity in an elliptical Saturn orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Uranus OrbitCalculate the radial velocity in an elliptical Uranus orbit given the angular momentum, eccentricity, and true anomaly.
Radial Velocity of Elliptical Pluto OrbitCalculate the radial velocity in an elliptical Pluto orbit given the angular momentum, eccentricity, and true anomaly.
Transverse Velocity of Elliptical OrbitCalculate the transverse velocity in an elliptical orbit given the angular momentum and the radius of the elliptical orbit.
Magnitude of the Velocity of Elliptical OrbitCalculate the magnitude of the velocity from the radial and transverse components of velocity
Flight Path Angle Elliptical OrbitCalculate the flight path angle of an elliptical orbit given the radial and transverse velocity
Flight Path Angle from True Anomaly and Eccentricity in an Elliptical OrbitCalculate the flight path angle of an elliptical orbit given the true anomaly and the eccentricity